Fractional-Spin Integrals of Motion for the Boundary Sine-Gordon Model at the Free Fermion Point
نویسندگان
چکیده
We construct integrals of motion (IM) for the sine-Gordon model with boundary at the free Fermion point (β2 = 4π) which correctly determine the boundary S matrix. The algebra of these IM (“boundary quantum group” at q = 1) is a one-parameter family of infinite-dimensional subalgebras of twisted ŝl(2). We also propose the structure of the fractional-spin IM away from the free Fermion point (β2 6= 4π).
منابع مشابه
Notes about equivalence between the Sine-Gordon theory (free fermion point) and the free fermion theory.
Notes about equivalence between the Sine-Gordon theory (free fermion point) and the free fermion theory. Abstract. The space of local integrals of motion for the Sine-Gordon theory (the free fermion point) and the theory of free fermions in the light cone coordinates is investigated. Some important differences between the spaces of local integrals of motion of these theories are obtaned. The eq...
متن کاملBoundary Sine-Gordon Interactions at the Free Fermion Point
We study bosonization of the sine-Gordon theory in the presence of boundary interactions at the free fermion point. In this way we obtain the boundary S-matrix as a function of physical parameters in the boundary sine-Gordon Lagrangian. The boundary S-matrix can be matched onto the solution of Ghoshal and Zamolodchikov, thereby relating the formal parameters in the latter solution to the physic...
متن کاملDifferential Equations for Sine-Gordon Correlation Functions at the Free Fermion Point
We demonstrate that for the sine-Gordon theory at the free fermion point, the 2point correlation functions of the fields exp(iαΦ) for 0 < α < 1 can be parameterized in terms of a solution to a sinh-Gordon-like equation. This result is derived by summing over intermediate multiparticle states and using the form factors to express this as a Fredholm determinant. The proof of the differential equa...
متن کاملMassless Boundary Sine-Gordon at the Free Fermion Point: Correlation and Partition Functions with Applications to Quantum Wires
In this report we compute the boundary states (including the boundary entropy) for the boundary sine-Gordon theory. From the boundary states, we derive both correlation and partition functions. Through the partition function, we show that boundary sineGordon maps onto a doubled boundary Ising model. With the current-current correlators, we calculate for finite system size the ac-conductance of ...
متن کاملSurface Tension of an Ideal Dielectric-Electrolyte Boundary: Exactly Solvable Model
The model under consideration is a semi-infinite two-dimensional two-component plasma (Coulomb gas), stable against bulk collapse for the dimensionless coupling constant β < 2, in contact with a dielectric wall of dielectric constant = 0. The model is mapped onto an integrable sine-Gordon theory with a “free” Neumann boundary condition. Using recent results on a reflection relationship between ...
متن کامل